document.write( "Question 1193440: A shipment of 10 items has two defective and eight non defective units. In the inspection of the shipment , a sample of units will be selected and tested. If a defective unit is found , the shipment of 10 units will be rejected.If a sample of four is selected , what is the probability that the shipment will be rejected? \n" ); document.write( "

Algebra.Com's Answer #848813 by ikleyn(52872) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "A shipment of 10 items has two defective and eight non defective units.
\n" ); document.write( "In the inspection of the shipment, a sample of units will be selected and tested.
\n" ); document.write( "If a defective unit is found , the shipment of 10 units will be rejected.
\n" ); document.write( "If a sample of four is selected, what is the probability that the shipment will be rejected?
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\n" ); document.write( "\n" ); document.write( "First, the wording of the problem is $\"highlight%28highlight%28MONSTROUS%29%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "The correct formulation should be like THIS:\r
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document.write( "    A shipment of 10 items has two defective and eight non defective units. \r\n" );
document.write( "    In the inspection of the shipment, a sample of 4 (four) units will be selected and tested. \r\n" );
document.write( "    If a defective unit is found, the shipment of 10 units will be rejected.\r\n" );
document.write( "    If a random sample of four items is tested, what is the probability that the shipment will be rejected?\r\n" );
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\n" ); document.write( "\n" ); document.write( "Second, the flow of words and mathematical symbols in the post by @CPhill
\n" ); document.write( "is $\"highlight%28highlight%28IRRELEVANT%29%29\"$ to the problem.\r
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\n" ); document.write( "\n" ); document.write( " The solution is simple, short, clear and educative.\r
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document.write( "The probability that the shipment will be rejected is equal to the probability to find at least\r\n" );
document.write( "one defective item in the random set of 4 (four) items.\r\n" );
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document.write( "The number of all possible quadruples of 10 items is   =  = 210.\r\n" );
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document.write( "The number of all possible quadruples of the form (1 defective,3 good) is   =  = 112.\r\n" );
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document.write( "The number of all possible quadruples of the form (2 defective,2 good) is   =  = 28.\r\n" );
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document.write( "So the probability that the shipment will be rejected is\r\n" );
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document.write( "    P =  =  = .    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "The note regarding the solution by @CPhill (which is, I believe, an AI for solving math problems).\r
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\n" ); document.write( "\n" ); document.write( "As we solve Math problems at this forum, our goal is to TEACH.\r
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\n" ); document.write( "\n" ); document.write( "Don't spew out an insane amount of words to overwhelm the reader/(student)
\n" ); document.write( "with the amount of filth (sorry) as you do,
\n" ); document.write( "but to do something completely opposite.\r
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\n" ); document.write( "\n" ); document.write( "            COMPLETELY   OPPOSITE   TO   what   YOU   do.\r
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\n" ); document.write( "\n" ); document.write( "Now I am facing with this dilemma: \r
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\n" ); document.write( "\n" ); document.write( "        should I recommend to the owner of this site/forum \r
\n" ); document.write( "\n" ); document.write( "                 to close it from your interventions ?\r
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\n" ); document.write( "\n" ); document.write( "There are three kinds of teachers.\r
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\n" ); document.write( "\n" ); document.write( "Best teachers are those who can teach, who love teaching and who can do it.\r
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\n" ); document.write( "\n" ); document.write( "Bad teachers are those who can not teach, do not love teaching and can not do teaching.\r
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\n" ); document.write( "\n" ); document.write( "But even worst teachers are those who can not teach, but, instead of it, are charged
\n" ); document.write( "to prove to everyone around that they \" also can \".\r
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\n" ); document.write( "\n" ); document.write( "It is the worst kind of teachers, and now your AI reminds me such teachers,
\n" ); document.write( "who are not able to teach, but want very much and are charged to PROVE to everyone around that they \" also can \".
\n" ); document.write( "This idea - to prove that they \" also can \" - is the dominant idea and the meaning of their existence.\r
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\n" ); document.write( "\n" ); document.write( "In my life, I saw teachers of all these kinds.\r
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\n" ); document.write( "\n" ); document.write( "It is interesting that students are well versed in all these shades.
\n" ); document.write( "Naturally, students love good teachers and remember them with gratitude throughout their lives;
\n" ); document.write( "are neutral to the second kind of teachers and forget about them quickly;
\n" ); document.write( "but hate   ( ! H A T E ! )   third kind of teachers, and these bad memories stay with them for a long time. \r
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